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διαίρεσις: Difference between revisions

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|Transliteration C=diairesis
|Transliteration C=diairesis
|Beta Code=diai/resis
|Beta Code=diai/resis
|Definition=εως, ἡ, <span class="sense"><span class="bld">A</span> [[divisibility]], <span class="bibl">Arist.<span class="title">Metaph.</span>1016b4</span>, al. </span><span class="sense"><span class="bld">2</span> Medic., [[dissection]], ζῴων Gal.4.664. </span><span class="sense"><span class="bld">b</span> [[venesection]], Antyll. ap. <span class="bibl">Orib.7.9.2</span>. </span><span class="sense"><span class="bld">c</span> [[surgical operation]], <span class="bibl">Phld.<span class="title">Lib.</span>p.56O.</span> </span><span class="sense"><span class="bld">d</span> pl., [[wound]]s, Diod.Rh.<span class="bibl">p.53H.</span> </span><span class="sense"><span class="bld">II</span> [[dividing]], [[distribution]], of [[money]], <span class="bibl">Hdt.7.144</span>; of [[spoil]], <span class="bibl">X.<span class="title">Cyr.</span>4.5.55</span>; <b class="b3">ἐν διαιρέσει [ψήφων</b>] in the [[reckoning]] of the [[vote]]s on either [[side]], <span class="bibl">A. <span class="title">Eu.</span>749</span>; [[ἀντίγραφον]] διαιρέσεως <span class="bibl"><span class="title">BGU</span>1013.1</span> (i A.D.). </span><span class="sense"><span class="bld">III</span> [[distinction]], [[ἀγνωσία]]ς τε καὶ γνώσεως <span class="bibl">Pl.<span class="title">Sph.</span>267b</span>; <b class="b3">[τῆς δημοκρατίας καὶ τῆς ὀλιγαρχίας</b>] <span class="bibl">Arist.<span class="title">Pol.</span>1294a34</span>. </span><span class="sense"><span class="bld">IV</span> in Logic, [[division]] of [[genus]] into [[species]], τῶν γενῶν κατ' [[εἴδη]] δ. <span class="bibl">Pl.<span class="title">Sph.</span>267d</span>; ἡ διὰ τῶν γενῶν δ. <span class="bibl">Arist.<span class="title">APr.</span>46a31</span>; opp. [[συναγωγή|συναγωγαί]], <span class="bibl">Pl.<span class="title">Phdr.</span>266b</span>. </span><span class="sense"><span class="bld">b</span> [[separation]] of [[subject]] and [[predicate]], περὶ σύνθεσιν καὶ δ. ἐστι τὸ [[ψεῦδος]] καὶ τὸ [[ἀληθές]] <span class="bibl">Arist.<span class="title">Int.</span>16a12</span>. </span><span class="sense"><span class="bld">2</span> <b class="b3">ὁ παρὰ τὴν δ. [λόγος</b>] the [[fallacy]] of [[division]] (cf. [[σύνθεσις]]), <span class="bibl">Id.<span class="title">SE</span>177a33</span>. </span><span class="sense"><span class="bld">V</span> Rhet., [[division]] or [[distribution]] into [[head]]s, <span class="bibl">Hermog.<span class="title">Prog.</span>7</span>, <span class="bibl"><span class="title">Stat.</span>1</span>, <span class="bibl">Onos.2</span> tit., etc. </span><span class="sense"><span class="bld">VI</span> Gramm., [[resolution]] of a [[diphthong]] into two [[syllable]]s, <span class="bibl">A.D.<span class="title">Pron.</span>87.2</span>, al.; of one word into two, κατὰ διαίρεσιν ἀναγνωστέον <span class="bibl">Ath.11.492a</span>, cf. <span class="bibl">Trypho <span class="title">Trop.</span>1.8</span>. </span><span class="sense"><span class="bld">VII</span> in Metric, [[division]] of a [[line]] at the [[close]] of a [[foot]], [[diaeresis]], <span class="bibl">Aristid.Quint.1.24</span>. </span><span class="sense"><span class="bld">VIII</span> Math., <b class="b3">διαίρεσις λόγου</b> [[transformation]] of a [[ratio]] [[dividendo]], <span class="bibl">Euc. 5</span><span class="title">Def.</span>15; κατὰ διαίρεσιν <span class="bibl">Archim.<span class="title">Sph.Cyl.</span>2.6</span>. </span><span class="sense"><span class="bld">IX</span> [[division]] of [[troop]]s, of the [[Roman]] [[cohors]], <span class="bibl">J.<span class="title">AJ</span>7.14.9</span>.</span>
|Definition=-εως, ἡ,<br><span class="bld">A</span> [[divisibility]], [[Aristotle|Arist.]]''[[Metaphysics|Metaph.]]''1016b4, al.<br><span class="bld">2</span> Medic., [[dissection]], ζῴων Gal.4.664.<br><span class="bld">b</span> [[venesection]], Antyll. ap. Orib.7.9.2.<br><span class="bld">c</span> [[surgical operation]], Phld.''Lib.''p.56O.<br><span class="bld">d</span> pl., [[wound]]s, Diod.Rh.p.53H.<br><span class="bld">II</span> [[dividing]], [[distribution]], of [[money]], Hdt.7.144; of [[spoil]], [[Xenophon|X.]]''[[Cyropaedia|Cyr.]]''4.5.55; <b class="b3">ἐν διαιρέσει [ψήφων]</b> in the [[reckoning]] of the [[vote]]s on either [[side]], A. ''Eu.''749; [[ἀντίγραφον]] διαιρέσεως ''BGU''1013.1 (i A.D.).<br><span class="bld">III</span> [[distinction]], [[ἀγνωσία]]ς τε καὶ γνώσεως Pl.''Sph.''267b; [τῆς δημοκρατίας καὶ τῆς ὀλιγαρχίας] Arist.''Pol.''1294a34.<br><span class="bld">IV</span> in Logic, [[division]] of [[genus]] into [[species]], τῶν γενῶν κατ' [[εἴδη]] δ. Pl.''Sph.''267d; ἡ διὰ τῶν γενῶν δ. Arist.''APr.''46a31; opp. [[συναγωγή|συναγωγαί]], Pl.''Phdr.''266b.<br><span class="bld">b</span> [[separation]] of [[subject]] and [[predicate]], περὶ σύνθεσιν καὶ δ. ἐστι τὸ [[ψεῦδος]] καὶ τὸ [[ἀληθές]] Arist.''Int.''16a12.<br><span class="bld">2</span> <b class="b3">ὁ παρὰ τὴν δ. [λόγος]</b> the [[fallacy]] of [[division]] (cf. [[σύνθεσις]]), Id.''SE''177a33.<br><span class="bld">V</span> Rhet., [[division]] or [[distribution]] into [[head]]s, Hermog.''Prog.''7, ''Stat.''1, Onos.2 tit., etc.<br><span class="bld">VI</span> Gramm., [[resolution]] of a [[diphthong]] into two [[syllable]]s, A.D.''Pron.''87.2, al.; of one word into two, κατὰ διαίρεσιν ἀναγνωστέον Ath.11.492a, cf. Trypho ''Trop.''1.8.<br><span class="bld">VII</span> in Metric, [[division]] of a [[line]] at the [[close]] of a [[foot]], [[diaeresis]], Aristid.Quint.1.24.<br><span class="bld">VIII</span> Math., <b class="b3">διαίρεσις λόγου</b> [[transformation]] of a [[ratio]] [[dividendo]], Euc. 5''Def.''15; κατὰ διαίρεσιν Archim.''Sph.Cyl.''2.6.<br><span class="bld">IX</span> [[division]] of [[troop]]s, of the [[Roman]] [[cohors]], J.''AJ''7.14.9.
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